Tricky statistics problem...please give correct answer for this question! As par

Question

Tricky statistics problem...please give correct answer for this question!

As part of a campaign project, a political action committee wanted to determine if the proportion of party affiliations in two neighboring states were the same or different. To make the comparison, they selected a random sample of 250 registered voters from one state and a random sample of 300 registered voters from the second state. These two sample sizes were in relative proportion to the two states' populations Checking the records, they tallied the number of Democrats, Republicans, and Other affiliated voters in each party and constructed the following contingency table Other 57 61 118 Totals 250 300 Republicans State A State B Totals Democrats 78 141 219 115 98 213 Based on this table, what is the value of the Chi-Square statistic that can test the null-hypothesis that the party affiliations are in the same proportion in both states, versus the alternative hypothesis that they're different in the two states O 15.2 0.844 O5.29 23.87 O 10.26

Explanation / Answer

The rows, states A and B here, need not equal number of observations. Thus, the usual chi-square test is applied and the value obtained is 15.2. See the related R output:

> tt <- read.csv("clipboard",header=F,sep=" ")
> chisq.test(tt)

Pearson's Chi-squared test

data: tt
X-squared = 15.1958, df = 2, p-value = 0.0005015

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